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VARVARA [1.3K]
3 years ago
6

About 1% of the population has a particular genetic mutation. 700 people are randomly selected. Find the standard deviation for

the number of people with the genetic mutation in such groups of 700.
Mathematics
1 answer:
Anton [14]3 years ago
5 0

Answer: 2.632

Step-by-step explanation:

Given : The probability that the population has a particular genetic mutation = 1 % = 0.01

Let X be a random variable representing the number of people with genetic mutation in a group of 700 people.

Now, X follows the binomial distribution with parameters:

n=700;\ p=0.01

The standard deviation for binomial distribution is given by :-

\sigma=\sqrt{np(1-p)}\\\\=\sqrt{700\times0.01(1-0.01)}\\\\=2.6324893162\approx2.632

Hence, the standard deviation = 2.632

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